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arXiv · 1104.2983

On the automorphism group of the asymptotic pants complex of a planar surface of infinite type

Ariadna Fossas·Maxime Nguyen
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Abstract

We consider a planar surface \Sigma of infinite type which has the Thompson group T as asymptotic mapping class group. We construct the asymptotic pants complex C of \Sigma and prove that the group T acts transitively by automorphisms on it. Finally, we establish that the automorphism group of the complex C is an extension of the Thompson group T by Z/2Z.

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Ariadna Fossas, Maxime Nguyen. 2011-04-15. On the automorphism group of the asymptotic pants complex of a planar surface of infinite type. https://arxiv.org/abs/1104.2983

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